Anecdotally, the world of science really opened up for me in a way that counteracted the kind of blindness you're describing when I took a class on statistics i

Anecdotally, the world of science really opened up for me in a way that counteracted the kind of blindness you're describing when I took a class on statistics in high school. It finally clicked for me both how much scientific knowledge can be trusted and, paradoxically, how much we still need to be careful about trusting it. This is due to a teacher who actively pushed this kind of thinking instead of teaching us to blindly recite the mathematics behind calculating p-values, which certainly could have been an option. It might help to require a few lessons directly on epistemology for high school or college curricula, but in the end you can't teach kids who don't want to learn effectively with teachers who don't want to teach effectively.